The letter that revealed Ramanujan's genius

Ramanujan was a self-taught Indian mathematician who travelled to England to work with professor G H Hardy after sending him a letter describing some of his remarkable ideas. In this video we take a look at that letter and at Hardy's initial response. Further reading/watching: Making sense of 1+2+3+... = -1/12: https://youtu.be/jcKRGpMiVTw YouTube Ramanujan documentary: https://youtu.be/YSOYdsaTYBU Wolfram blog: https://writings.stephenwolfram.com/2016/04/who-was-ramanujan/ The distribution of prime numbers: https://medium.com/cantors-paradise/the-riemann-hypothesis-explained-fa01c1f75d3f A Gentle Introduction to Analytic Continuation: https://medium.com/cantors-paradise/a-gentle-introduction-to-analytic-continuation-c1ab92fb2ba1 Images of Ramanujan's letter (on Twitter): https://twitter.com/SrinivasR1729/status/1255366474467770369 A recent movie about Ramanujan is 'The man Who Knew Infinity' directed by Matthew Brown 0:00 - Intro 1:03 - Ramanujan's letter 8:56 - Hardy's reply 11:22 - Patron Cat of the Day Hardy's reply letter is taken from 'Ramanujan, letters and commentary' - Bruce C. Burndt & Robert A. Rankin. Ramanujan's original letter is from the Cambridge University Archive. Subscribe to my channel to see more videos like this: https://www.youtube.com/user/tibees Support me with a monthly donation on Patreon and receive a gift from me and access to my podcast: https://www.patreon.com/Tibees Buy me a coffee (one-off donation): https://ko-fi.com/tibees Website: https://tobyhendy.com/ TikTok: https://www.tiktok.com/@tibees Twitter: https://twitter.com/TobyHendy End music: Gymnopedie - Satie ✨ Music: Reconcile - Peter Sandberg My fountain pen: https://amzn.to/338otuw